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Finding the Fourth Proportional to 502.73, 693.71 and 281.65

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Solution

The fourth proportional to 502.73, 693.71 and 281.65 is: 388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.73 : 693.71 = 281.65 : x
  2. Step 2: Convert to fraction form
    502.73/693.71 = 281.65/x
  3. Step 3: Cross multiply
    502.73x = 693.71 × 281.65
  4. Step 4: Simplify right side
    502.73x = 195,378.54
  5. Step 5: Solve for x
    x = 195,378.54/502.73
  6. Step 6: Final answer
    x = 388.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.